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This is a famous problem known as the Hamburger moment problem. It is possible though to get the same result for the normal distribution with a much smaller number of assumptions thatthan requiring convergence for all moments with $k\geq1$.
This is a famous problem known as the Hamburger moment problem. It is possible though to get the same result with a much smaller number of assumptions that requiring convergence for all moments with $k\geq1$.
This is a famous problem known as the Hamburger moment problem. It is possible though to get the same result for the normal distribution with a much smaller number of assumptions than requiring convergence for all moments with $k\geq1$.
This is a famous problem known as the Hamburger moment problem. It is possible though to get the same result with a much smaller number of assumptions that requiring convergence for all moments with $k\geq1$.
